Field and Wave Electromagnetics 2nd Edition by David Cheng

تمرين 10

A lossless quarter-wave line section of characteristic impedance R 0 is terminated with an inductive load impedance Z L = R L +jX L.
Prove that the input impedance is effectively a resistance R i in parallel with a capacitive reactance X i Determine Ri , and X i in terms of R 0 , R L , and X L.
Find the ratio of the magnitude of the voltage at the input to that at the load (voltage transformation ratio, |V in |/|V L |) in terms of R 0 and Z L